The Index Theorem and the Heat Equation Method (Repost)

Posted By: Specialselection

Yanlin Yu, "The Index Theorem and the Heat Equation Method"
English | 2001-09 | ISBN: 9810246102 | 308 pages | DJVU | 1.5 mb

This volume provides a self-contained represenation of the local version of the Atiyah-Singer index theorem. It contains proofs of the Hodge theorem, the local index theorems for the Dirac operator and some first-order geometric elliptic operators by using the heat-equation method. The proofs are up to the standard of pure mathematics. In addition, a Chern root algorithm is introduced for proving the local index theorems.

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